Modern Higher Algebra

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Cambridge University Press, 2015 - Mathematics - 332 pages
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Abraham Adrian Albert (1905-72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. A glossary is included. This is a highly informative book that will be of value to anyone with an interest in the development of algebra and the history of mathematics.
 

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Contents

CHAPTER
1
RINGS WITH A UNITY ELEMENT
21
MATRICES
46
CHAPTER PAGE
75
SYMMETRIC AND SKEw MATRICES
96
FINITE GROUPS
126
FIELDs ovER
146
THE GALOIs THEORY
172
The degree of a total matric algebra
232
The cyclic representation of a total matric algebra
239
The polynomial algebra A
245
CHAPTER IPAGE
251
VALUATION FUNCTIONS
277
GLOSSARY
307
INDEx
313
The characteristic and minimum functions scalar extension
315

CYCLIC FIELDs
192
ALGEBRAs OF MATRICES
217

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